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Finding the Third Proportional to 361,357.88 and 778,214.25

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Solution

The third proportional to 361,357.88 and 778,214.25 is: 1,675,949.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,357.88 : 778,214.25 = 778,214.25 : x
  2. Step 2: Convert to fraction form
    361,357.88/778,214.25 = 778,214.25/x
  3. Step 3: Cross multiply
    361,357.88x = 778,214.25 × 778,214.25
  4. Step 4: Simplify right side
    361,357.88x = 605,617,418,903.06
  5. Step 5: Solve for x
    x = 605,617,418,903.06/361,357.88
  6. Step 6: Final answer
    x = 1,675,949.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.